Intermediate Algebra (6th Edition)

by
Martin-Gay, Elayn

Answer

4; none of these

Work Step by Step

The degree of a polynomial is the largest degree of all its terms.
For the polynomial $x^{2}y-4xy^{2}+5x+y^{4}$. The last term has the largest exponent sum on its variables, so it will have a larger degree than the rest of the terms. In this term, the exponent on y is 4, so the degree of the term is 4.
Therefore, the degree of this polynomial is 4. The polynomial is a none of these because it has 4 terms.